Answer:
3rd option
Step-by-step explanation:
the ratio of b : c is the cos77° , that is
cos77° = 
= 
≈ 0.224951054.
Answer:
Step-by-step explanation:
To be right triangle has to verify the Pythagorean Theorem
hypothenuse² = (side 1 )² + (side 2)²
Since the hypothenuse is the largest of the sides we consider the largest number the hypothenuse and check the relation.
16, 30, 34
34² = 16²+30²; 1156 = 1156 ✅
16, 30, 34 are measurements of a right triangle
8, 14, 16
16² = 8² +14²; 256 = 260 ❌
8, 14, 16 is not a right triangle
10, 12, 16
16² = 10² +12²; 256 = 244 ❌
10, 12, 16 is not a right triangle
5, 12, 13
13² = 12²+5²; 169 = 169 ✅
5, 12, 13 are measurements of a right triangle
Answer:
x+129=592
Step-by-step explanation:
add 129 to each side
Answer:
There present ages are
Drex age = 17 years
Max age = 12 years
Step-by-step explanation:
Given as ,
The sum of age of Drex and Max = 29 years
And seven years ago Drex was twice as old as max
So , Let the Age of Drex = D and Max age = M
I.e (D - 7 ) = 2 (M - 7)
Or, D - 7 = 2M - 14
Or, 2M - D = 7
And Also D + M = 29
So , from both equations
(2M - D ) + (D + M) = 29 +7
Or, 3M = 36
I.e M = 
= 12 years
∴ The Age of Drex = 29 - M
The Age of Drex = 29 - 12 = 17 years
Hence there present ages are
The Age of Drex = 17 years
The Age of Max = 12 years Answer
-- They're losing employees . . . so you know that the line will slope down, and
its slope is negative;
-- They're losing employees at a steady rate . . . so you know that the slope is
the same everywhere on the line; this tells you that the graph is a straight line.
I can see the function right now, but I'll show you how to go through the steps to
find the function. I need to point out that these are steps that you've gone through
many times, but now that the subject pops up in a real-world situation, suddenly
you're running around in circles with your hair on fire screaming "What do I do ?
Somebody give me the answer !".
Just take a look at what has already been handed to you:
0 months . . . 65 employees
1 month . . . . 62 employees
2 months . . . 59 employees
You know three points on the line !
(0, 65) , (1, 62) , and (2, 59) .
For the first point, 'x' happens to be zero, so immediately
you have your y-intercept ! ' b ' = 65 .
You can use any two of the points to find the slope of the line.
You will calculate that the slope is negative-3 . . . which you
might have realized as you read the story, looked at the numbers,
and saw that they are <u>firing 3 employees per month</u>.
("Losing" them doesn't quite capture the true spirit of what is happening.)
So your function ... call it ' W(n) ' . . . Workforce after 'n' months . . .
is <em>W(n) = 65 - 3n</em> .
